×

Decentralized control of power systems via robust control of uncertain Markov jump parameter systems. (English) Zbl 1121.93362

Summary: This paper considers the problem of decentralized control of interconnected power systems under large changes in real and reactive loads that cause large structural changes in the system model. In addition to this, small changes in load are regulated by small disturbance controllers whose gains are adjusted for variations in the power system model due to large changes in loads. In this paper small disturbance perturbations are handled using decentralized control. The only feedback needed by subsystem controllers is the state of the subsystem itself. The design is carried out within a large-scale Markov jump parameter systems framework. Using an integral quadratic constraints description for system interconnections and disturbances, we obtain necessary and sufficient conditions for the existence of a decentralized controller which stabilizes the overall system and guarantees its optimal robust performance.

MSC:

93C95 Application models in control theory
93A14 Decentralized systems
93E03 Stochastic systems in control theory (general)
Full Text: DOI

References:

[1] DOI: 10.1109/9.310038 · Zbl 0925.93387 · doi:10.1109/9.310038
[2] Bendtsen JD, Proceedings of the 42nd IEEE Conference on Decision Control 6 pp 6553– (2003)
[3] Boukas EK, Kybernetika 33 pp 121– (1997)
[4] De Souza CE, Control Theory and Advanced Technology 9 pp 457– (1993)
[5] Doob JL, Stochastic processes (1953)
[6] Elloumi S, Proceedings of the 2002 IEEE International Conference on Systems, Man and Cybernetics 6 pp 475– (2002)
[7] DOI: 10.1109/9.109637 · Zbl 0747.93079 · doi:10.1109/9.109637
[8] DOI: 10.1080/002071797224603 · Zbl 0875.93354 · doi:10.1080/002071797224603
[9] DOI: 10.1109/9.57016 · Zbl 0714.93060 · doi:10.1109/9.57016
[10] DOI: 10.1109/TCS.1985.1085683 · doi:10.1109/TCS.1985.1085683
[11] Mariton M, Jump Linear Systems in Automatic Control (1990)
[12] Megretsky A, Journal of Mathematical Systems, Estimation and Control 3 pp 301– (1993) · Zbl 0781.93079
[13] Pai MA, Energy Function Analysis for Power System Stability (1989)
[14] Pakshin PV, International Journal of Computer and Systems Sciences 42 pp 200– (2003)
[15] Pan Z, New Trends in Dynamic Games and Applications pp 61– (1995)
[16] DOI: 10.1002/rnc.4590010304 · Zbl 0759.93027 · doi:10.1002/rnc.4590010304
[17] DOI: 10.1007/978-1-4471-0447-6 · doi:10.1007/978-1-4471-0447-6
[18] DOI: 10.1109/TPWRS.2004.836269 · doi:10.1109/TPWRS.2004.836269
[19] DOI: 10.1109/TPWRS.2003.820690 · doi:10.1109/TPWRS.2003.820690
[20] DOI: 10.1080/002077201300029782 · Zbl 1101.93328 · doi:10.1080/002077201300029782
[21] DOI: 10.1002/rnc.4590050204 · Zbl 0829.49003 · doi:10.1002/rnc.4590050204
[22] DOI: 10.1109/TDC.2002.1176833 · doi:10.1109/TDC.2002.1176833
[23] DOI: 10.1137/S0363012996309964 · Zbl 0938.93064 · doi:10.1137/S0363012996309964
[24] DOI: 10.1016/S0167-6911(00)00007-4 · Zbl 0977.93006 · doi:10.1016/S0167-6911(00)00007-4
[25] Wang Y, Proceedings of the 34nd Conference on Decision and Control pp 2653– (1995)
[26] DOI: 10.1109/TCS.1986.1085936 · doi:10.1109/TCS.1986.1085936
[27] DOI: 10.1016/0167-6911(88)90062-X · Zbl 0664.93066 · doi:10.1016/0167-6911(88)90062-X
[28] DOI: 10.1016/0167-6911(92)90034-P · Zbl 0776.49009 · doi:10.1016/0167-6911(92)90034-P
[29] DOI: 10.1016/S0005-1098(96)00112-4 · Zbl 0870.93037 · doi:10.1016/S0005-1098(96)00112-4
[30] Zhai G, Proceedings of the 33rd Conference on Decision and Control pp 2337– (1994)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.